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camino
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Homework Statement
160 cos(theta) - W cos(69) = 0
160 sin(theta) - W cos(21) - W = 0
Can someone solve these equations for me to find W and theta?
camino said:Homework Statement
160 cos(theta) - W cos(69) = 0
camino said:W = W cos(69) / cos(69)
?
camino said:Sorry I am still not seeing it. Could you give me one more step?
camino said:I do understand how to simplify one equation and substitute into the other, however I just can't seem to simplify these down. The theta with the sin and cos attached is what is really confusing me when trying to simplify. This is just a mess and I'm very confused.
camino said:160 sinθ - (160cosθ/cos69) cos(21) - (160cosθ/cos69) = 0
camino said:Is there a trig identity that replaces either sin or cos? I'm thinking we want to narrow this down to only having either sin or cos in the equation.
camino said:I am really not sure.
camino said:Oh my it has been a long day.. Yes i see that now. So simplifying I would then do:
160 sinθ - (-29.6542) cosθ = 0
160 sinθ = 29.6542 cosθ
θ = tan^-1(160/29.6542)
θ = 79.5° ?
Simultaneous equations are a set of two or more equations that are solved at the same time in order to find the values of the unknown variables that satisfy all of the equations.
Simultaneous equations can be solved using several methods such as substitution, elimination, or graphing. These methods involve manipulating the equations to eliminate one of the variables and then solving for the remaining variable.
Simultaneous equations are used in various scientific fields, such as physics, chemistry, and engineering, to model and solve real-world problems. They allow us to find the relationships between different variables and make predictions based on those relationships.
Simultaneous equations are commonly used to solve problems involving speed, distance, and time; chemical reactions; and electrical circuits. They can also be used to analyze data and make predictions in various scientific experiments and studies.
Some tips for solving simultaneous equations include choosing a method that best suits the given equations, carefully manipulating the equations to eliminate a variable, and checking the solutions by substituting them back into the original equations. It is also helpful to clearly label and organize the equations and steps of the solution.